Title :
Two frequency scale decomposition of positive real and bounded real transfer matrices
Author :
Oloomi, Hossein M.
Author_Institution :
Dept. of Electr. Eng., Purdue Univ., Fort Wayne, IN, USA
Abstract :
In this paper, it is shown that the positive real property of a two frequency scale transfer matrix can be deduced from the positive real property of its slow and fast transfer matrices. The same has been shown for the bounded real property. Dual results are also presented. As an application, a two frequency model reduction scheme is presented which preserves the BR property of a two frequency scale system
Keywords :
reduced order systems; transfer function matrices; bounded real transfer matrices; fast transfer matrices; positive real transfer matrices; slow transfer matrices; two frequency model reduction scheme; two frequency scale decomposition; two frequency scale system; two frequency scale transfer matrix; Control theory; Design methodology; Feedback; Frequency; Matrix decomposition; Reduced order systems; Robust control; Stability analysis; State-space methods;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532683
